Integration

Question 1

1 / a2–x2

Answer 1

1/2 * log |a+x / a-x | +c

Question 2

1/ a2+x2

Answer 2

1/a * tan-1(x/a) +c

Question 3

1/x2-a2

Answer 3

1/2a * log |x -a/ x+a | +c

Question 4

1 / root (a2+x2)

Answer 4

log | x + root (a2+x2) | +c

Question 5

1/ root (a2-x2)

Answer 5

sin-1(x/a) + c

Question 6

1/ root (x2-a2)

Answer 6

log | x+root (x2-a2) | +c

Question 7

root (a2-x2)

Answer 7

x/2 * root (a2-x2) + a2/2 sin-1(x/a) + c

Question 8

root (x2-a2)

Answer 8

x/2* (root (x2-a2)) - a2/2 * log(x+ (root (x2-a2)) +c

Question 9

root (x2+a2)

Answer 9

x/2*root (x2+a2) + a2/2 * log(x+root (x2+a2)) +c